Identification of the theory of multidimensional orthogonal polynomials with the theory of symmetric interacting Fock spaces with finite dimensional one particle space

@inproceedings{Accardi2014IdentificationOT,
  title={Identification of the theory of multidimensional orthogonal polynomials with the theory of symmetric interacting Fock spaces with finite dimensional one particle space},
  author={Luigi Accardi and Abdessatar Barhoumi and Ameur Dhahri},
  year={2014}
}
The identification mentioned in the title allows a formulation of the multidimensional Favard Lemma different from the ones currently used in the literature and which exactly parallels the original 1–dimensional formulation in the sense that the positive Jacobi sequence is replaced by a sequence of positive Hermitean (square) matrices and the real Jacobi sequence by a sequence of Hermitean matrices of the same dimension. Moreover, in this identification, the multi–dimensional extension of the… CONTINUE READING
2
Twitter Mentions

References

Publications referenced by this paper.
SHOWING 1-10 OF 20 REFERENCES

Similar Papers

Loading similar papers…